Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations

Yves Coudière; Thierry Gallouët; Raphaèle Herbin

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 4, page 767-778
  • ISSN: 0764-583X

Abstract

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The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce Lp error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.

How to cite

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Coudière, Yves, Gallouët, Thierry, and Herbin, Raphaèle. "Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations." ESAIM: Mathematical Modelling and Numerical Analysis 35.4 (2010): 767-778. <http://eudml.org/doc/197423>.

@article{Coudière2010,
abstract = { The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce Lp error estimates on the approximate solutions of convection diffusion equations by finite volume schemes. },
author = {Coudière, Yves, Gallouët, Thierry, Herbin, Raphaèle},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Finite volume methods; Lp error estimates; unstructured meshes; convection-diffusion equations.; finite volume methods; error estimates; convection-diffusion equations; convergence; discrete Sobolev inequalities},
language = {eng},
month = {3},
number = {4},
pages = {767-778},
publisher = {EDP Sciences},
title = {Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations},
url = {http://eudml.org/doc/197423},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Coudière, Yves
AU - Gallouët, Thierry
AU - Herbin, Raphaèle
TI - Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 4
SP - 767
EP - 778
AB - The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce Lp error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
LA - eng
KW - Finite volume methods; Lp error estimates; unstructured meshes; convection-diffusion equations.; finite volume methods; error estimates; convection-diffusion equations; convergence; discrete Sobolev inequalities
UR - http://eudml.org/doc/197423
ER -

References

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